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Finding the Third Proportional to 175,243 and 274,543.50

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Solution

The third proportional to 175,243 and 274,543.50 is: 430,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,243 : 274,543.50 = 274,543.50 : x
  2. Step 2: Convert to fraction form
    175,243/274,543.50 = 274,543.50/x
  3. Step 3: Cross multiply
    175,243x = 274,543.50 × 274,543.50
  4. Step 4: Simplify right side
    175,243x = 75,374,133,392.25
  5. Step 5: Solve for x
    x = 75,374,133,392.25/175,243
  6. Step 6: Final answer
    x = 430,112.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.